Stable bound orbits in black lens backgrounds

Abstract

In contrast to five-dimensional Schwarzschild-Tangherlini and Myers-Perry backgrounds, we show that there are stable bound orbits of massive/massless particles in five-dimensional black lens backgrounds, in particular, the supersymmetric black lens with $L(2,1)$ and $L(3,1)$ topologies. We also show that in the zero-energy limit of massless particles, there exist stable circular orbits on the evanescent ergosurfaces.

25 pages, 24 figures

References in corpus (25)

• A rotating black ring in five dimensions
• Geodesic stability, Lyapunov exponents and quasinormal modes
• A supersymmetric black ring
• Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
• A generalization of Hawking's black hole topology theorem to higher dimensions
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Particle and light motion in a space-time of a five-dimensional rotating black hole
• Slowly Decaying Waves on Spherically Symmetric Spacetimes and an Instability of Ultracompact Neutron Stars
• Black ring with two angular momenta
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
• On the topology and area of higher dimensional black holes
• Instability of supersymmetric microstate geometries
• A supersymmetric black lens
• Supersymmetric black lenses in five dimensions
• Further restrictions on the topology of stationary black holes in five dimensions
• Stable photon orbits in stationary axisymmetric electrovacuum spacetimes
• Lux in obscuro: Photon Orbits of Extremal Black Holes Revisited
• Chaos in Geodesic Motion around a Black Ring
• Stable Bound Orbits of Massless Particles around a Black Ring
• Stable Bound Orbits around Black Rings
• Innermost stable circular orbits in Majumdar--Papapetrou dihole spacetime
• Stable circular orbits in higher-dimensional multi-black hole spacetimes
• Effect of a second compact object on stable circular orbits
• Stable bound orbits around a supersymmetric black lens

Cited by in corpus (5)

• Bianchi IX geometry and the Einstein-Maxwell theory
• Stable circular orbits in caged black hole spacetimes
• Stable circular orbits in Kaluza-Klein black hole spacetimes
• Stable bound orbits around static Einstein-Gauss-Bonnet black holes
• Stable bound orbits in microstate geometries